Energetics of non-Gaussianity in single mode cavities

• URL: http://arxiv.org/abs/2606.31150v1
• Date: Tue, 30 Jun 2026 05:23:29 GMT
• Title: Energetics of non-Gaussianity in single mode cavities
• Abstract summary: Non-Gaussian states play a central role in quantum technologies.<n>We introduce an energetic framework to characterize non-Gaussianity in single-mode bosonic states.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Non-Gaussian states play a central role in quantum technologies, making the ability to quantify non-Gaussianity essential. We introduce an energetic framework to characterize non-Gaussianity in single-mode bosonic states by decomposing the total energy into Gaussian and non-Gaussian contributions. For pure states, we show that the non-Gaussian component defines a valid measure of non-Gaussianity and establish its connection to the relative entropy of non-Gaussianity. As an illustration, we compare this measure with Wigner negativity and find that both are maximized in closely related parameter regimes. For mixed states, we demonstrate that the non-Gaussian contribution acts as a faithful witness of non-Gaussianity. Our results reveal an energetic fine structure underlying non-Gaussianity and may provide practical insights for the efficient generation of non-Gaussian states.

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